The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Answer:
The speed of balloon is 0.16 m/s.
Step-by-step explanation:
BC = 300 m
AD = x
AB = y
time, t = 3 min = 3 x 60 = 180 s
By the triangle, ADC,
[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]
By the triangle, BDC
[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]
So, y = 109.2 - 80.4 = 28.8 m
Speed of balloon = 28.8/180 = 0.16 m/s
(x − 5)∙ 3 = 2∙ 10 + 8
Answer:
x=17
Step-by-step explanation:
3x-15=20+16
3x-15=36
3x=36+15
3x=51
x=17
A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team
Answer:i would say 2 differentt teams where there is more then women than men in the team
Step-by-step explanation:
well how i came to this answer is that the team is limited to only 5 people giving the only team where there is more women over men is this first team would be 4 women and 1 men , second team would be 3 women and 2 men anything lower then 3 make its where the team has more men than women so the only options would be 2 team where either they go with 4 women or 3 women and you can't go with more then 4 because then there would be no men in the team which is what the question asks for please go with 2 teams
if this helps please make me brainlist ?!
Sat prep find the value of x in each of the following exercises
Answer:
155°Step-by-step explanation:
Consider straight line and complementary angle properties and use following equation:
(90° - (180° - x)) = 180° - (60° + (90° - 35°)) x - 90° = 180° - (60° + 55°)x = 90° + 65°x = 155°Answer:
x=115 degrees
Step-by-step explanation:
1)2x(3x^2-2x+1)
2)4x(1-x-3x)
Answer:
1. 3x^3 - 2x^2 - x
2. -4x^2 + x
Step-by-step explanation:
Find the value of x
.
Answer:
x=3
Step-by-step explanation:
The middle is the average of the top and bottom since it divides the sides into equal parts
(23+ 11x+2)/2 = 29
Multiply each side by 2
(23+ 11x+2) = 58
25+11x = 58
11x = 58-25
11x = 33
Divide by 11
11x/11 = 33/11
x=3
HELPPP
Solve: r = -5 + 19. r =____?
-24
14
-14
24
Answer:
14
Step-by-step explanation:
19 - 5 = 14
Please help me with this
Please help out explanation need it
Answer:
SinA= BC/AC=20/55
SinA=4/11
A=Sin^-1(4/11)
A=Sin^-1(0.36)
LA=21.1 ← ans
OAmalOHopeO
HELP PLEASE ASAP!!!!! Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
GIVE ME BRAINLIEST
Step-by-step explanation:
A 20 foot ladder rests against a wall. The ladder makes a 55° angle with the ground. How far from
the wall is the base of the ladder?
Answer:
11.5 foot (rounded to one decimal)
Step-by-step explanation:
x = 20×sin(35)
x ≈ 11.47153.. ≈ 11.5
Answered by GAUTHMATH
Help anyone can help me do this question,I will mark brainlest.
Answer:
11. 40.5
12. 84
Step-by-step explanation:
What is the fastest way to solve the following question:
The ratio of boys to girls in Mr. Brown's class is 2:3. If there are 30 students in the class, how many more girls than boys are in the class?
Answer:
There are 6 more girls than boys
Step-by-step explanation:
boys :girls : total
2 3 2+3 = 5
There are 30 total students
30/5 = 6
Multiply each number by 6
boys :girls : total
2*6 3*6 5*6
12 18 30
There are 18 girls and 12 boys
18-12 = 6
There are 6 more girls than boys
Answer:
Answer is 6.
Step-by-step explanation:
I will now explain the fastest way to solve this. First off, the ratio is 2:3 so the first thing I do is combine that for 5, then do 30/5 for an answer of 6. Then, I multiply 6 for the ratio, which comes out as 12:18, 12 boys and 18 girls. 18-12=6, so there are 6 more girls than boys in the class.
The graph of which functions has an axis of symmetry at x = -1/4?
Answer:
2x^2 + x - 1
If I did anything you didn't understand let me know so I can explain.
Step-by-step explanation:
All of them are quadratics so let's use that.
The first one is 2x^2 + x - 1. To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them. Something to notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry. So I am going to ignore the constant, because then finding the zeroes is much much simpler. I am going to do this with all opions.
So 2x^2 + x - 1 I am just going to use 2x^2 + x. If you factor out an x you get x(2x + 1) So now we have it in factored form and we know the zeroes are 0 and -1/2. The number directly in between these is -1/4, so the axis of symmetry is x = -1/4. I don't know if there is only one with that axis of symmetry so i am going to check the rest.
2x^2 - x + 1 means we are only going to look at 2x^2 - x. factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.
x^2 + 2x - 1 we only use x^2 + 2x. Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1
x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.
So yep, it was just the first one.
9514 1404 393
Answer:
(a) f(x) = 2x^2 +x -1
Step-by-step explanation:
For ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the offered answer choices, the axes of symmetry are ...
a) x = -1/(2·2) = -1/4 . . . . . . the function we're looking for
b) x = -(-1)/(2·2) = 1/4
c) x = -2/(2·1) = -1
d) x = -(-2)/(2·1) = 1
The function with axis of symmetry x = -1/4 is f(x) = 2x^2 +x -1.
Find a pattern for the sequence. Use the pattern to show the next two terms.
AL, AK, AZ, AR, CA, ...
Choose the correct answer below.
СT, CO
CO, DE
CO, CT
DE, FL
============================================
Explanation:
These are state abbreviations
AL = AlabamaAK = AlaskaAZ = ArizonaAR = ArkansasCA = CaliforniaCO = ColoradoCT = ConnecticutDE = DelawareFL = FloridaSince the given sequence is "AL, AK, AZ, AR, CA", and the states are listed alphabetically so far (in terms of the two letter abbreviations), then the next two would be CO and CT in that order.
What is the distance in units between the points (4, -7) and (1, -7)?
Step-by-step explanation:
To evaluate such, the following formula is required:
Distance Formula: d(P, Q) = √ (x2 − x1)^2 + (y2 − y1)^2
Denote the following points as the following,
(4, -7). (1, -7)
X1 Y1. X2. Y2
D(P, Q) = √(1 - 4)^2 + (-7 + 7)^2. <== Since there is a double negative, such will be considered addition.
√(-3)^2 + (0)^2
√9 = 3
Thus, the agglomerate distance of such points on the Cartesian plane is disclosed as 3 units.
The yearly income of a family was Rs. 5,00,000. Tax was exempted upto Rs. 1,50,000. If the tax for the first Rs 20,00,000 was 10 % and for the rest was 15%, find how much amount of income tax will be paid in a year?
Answer: Rs. 35,000
Step-by-step explanation:
The taxable income is:
= Yearly income - Tax exemption
= 500,000 - 150,000
= Rs. 350,000
The tax on the first Rs. 2,000,000 is 10% which means that tax is:
= 350,000 * 10%
= Rs. 35,000
A waffle cone has a height of 10 centimeters and a diameter of 6 centimeters. To the nearest tenth of a cubic centimeter, approximately how much ice cream will the waffle cone hold?
Answer:
94.2 cm^3.
Step-by-step explanation:
Volume of a cone = 1/3πr^2h
The radius of the cone = 1/2 * 6 = 3
So here the volume is:
1/3 * π * 3^2 * 10
= 94.247
hey help me please lol
Answer:
r = 5
Step-by-step explanation:
Side 1: 7
Side 2: 2 + r
To determine r, we subtract 2 from both sides to get the following:
Side 1: 5
Side 2: r
5 and r are the same, so 5 must equal 5.
Therefore, r = 5.
Find the volume of this cylinder please..
Answer: 825
Step-by-step explanation:
Plug in the values for v = π*r²*h
So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)
The question is also telling us to replace π with 3.
now we solve, after gathering all of our information.
v = 3*5²*11
v=3*25*11
v=75*11
v=825
It takes 25 minutes to fry a burger at Jill street, how long will it take to fry 13 burgers
Answer:
325 minutes
Step-by-step explanation:
We can use a ratio to solve
25 minutes x minutes
------------------ = ---------------
1 burger 13 burgers
Using cross products
25*13 = 1x
325 = x
325 minutes
Answer:
325 minutes or 5 hours and 25 minutes
Step-by-step explanation:
If it takes 25 minutes to fry a single burger, assuming only one burger can be made at a time, you must multiply the time per burger by how many burgers are made. So. 25(13) = 325 minutes or 5 hours and 25 minutes.
find the trigonometric ratio tan m multiple choice
Answer:
a/b
Step-by-step explanation:
Tan = Opposite/Adjacent
Therefore, Tan M = a/b.
what is a power according to mathematics
Answer:
A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied
Answer:
United States: Retail sales rebound in June
Step-by-step explanation:
United States: Retail sales rebound in June: Retail sales increased 0.6% month-on-month in seasonally-adjusted terms in June (May: -1.7% mom). The figure was largely due to a strong increase in gasoline sales in June, while sales at electronic and appliances, health and personal care, and general merchandise stores all rebounded robustly over the previous month. #accelerationism
Graph the linear equation: y = (2/3) x, by creating a t-chart to plot the points. Show all of your work,
attach your t-chart and a labeled graph for full credit.
Answer:
Step-by-step explanation:
Given linear equation is,
y = [tex]\frac{2}{3}x[/tex]
t-chart Or table for the input-output values,
y -2 0 2 4
x -3 0 3 6
Now we have to plot the ordered pairs given in the table,
(-3, -2), (0, 0), (3, 2), (6, 4)
Trong các phương trình sau, phương trình bậc nhất một ẩn là:
A. x+x2=0 B.+1=0
C.
x-2=0 D.(x+3)(2x-1)=0
Step-by-step explanation:
hey can I have this question in English write can totally ask your question I don't think that I am doing this for purposes please ask this question and English so I can ask this question please ask this question in English if you I am from India so I don't know this all languages Thank you
62+2{56/(4 multipied by 2)-5
Answer:
Hence The Answer is 66.
Step-by-step explanation:
I Hope It Helps You.
• • •
The simplified expression is 99.3333 (rounded to four decimal places).
To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).
First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.
Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).
Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).
Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).
To learn more about expressions click on,
https://brainly.com/question/19555499
#SPJ2
Complete question is:
Simplify 62+2{56/(4 multipied by 2)-5.
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer
PLS HELP I'M SOO CONFUSED
Consider the arithmetic senes 336+ 332+328+....+4 Numeric Response 1 The number of terms in the series above is (Record your answer in the numerical-response section below) Your answer DCC Numeric Response 2. The sum of the series above is (Record your answer in the numerical-response section below)
The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is
336 - 4 (n - 1)
or
340 - 4n
The last term in this series is 4, so we solve for n :
340 - 4n = 4
336 = 4n
n = 336/4 = 84
The sum of the series is then
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]
Recall that
[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]
[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]
Then the sum we want is
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]
The chart shows pricing and payment options for two big-ticket items.
If someone were unable to pay cash right now, which financing option would be best for the laptop and for the refrigerator?
a. rent-to-own; installment
b. installment; rent-to-own
c. rent-to-own; rent-to-own
d. save up and pay cash
Answer:its C rent-to-own ; rent-to-own
Step-by-step explanation:
I got a 100 on my test
Tamanika got a raise in her hourly pay, from $15.50 to $17.85. Find the percent increase. Round to the nearest tenth of a percent.
Answer:
13.2%
or 115.2%
Step-by-step explanation:
hope it's correct. lemme know which one is correct